U-tiling: UQC2215
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1733 |
*22222 |
(2,6,4) |
{8,3} |
{4.3.4.4.4.4.3.4}{3.4.4} |
s-nets
3 records listed.
Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
P
|
False
|
|
sqc4076
|
|
P4/mmm |
123 |
tetragonal |
{8,3} |
8 |
(2,5) |
G
|
False
|
|
sqc10215
|
|
I4122 |
98 |
tetragonal |
{3,8} |
16 |
(2,7) |
D
|
False
|
|
sqc4553
|
|
P4222 |
93 |
tetragonal |
{3,8} |
8 |
(2,6) |
Topological data
Vertex degrees | {8,3} |
2D vertex symbol | {4.3.4.4.4.4.3.4}{3.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<63.2:176:100 4 5 105 106 30 53 54 33 78 15 16 83 84 41 64 65 44 122 26 27 127 128 75 76 111 37 38 116 117 97 98 144 48 49 149 150 74 77 133 59 60 138 139 96 99 166 70 71 171 172 81 82 118 141 142 121 155 92 93 160 161 103 104 129 152 153 132 114 115 163 164 125 126 174 175 136 137 162 165 147 148 173 176 158 159 169 170,2 47 6 9 8 11 13 58 17 20 19 22 24 69 28 31 30 33 35 91 39 42 41 44 46 50 53 52 55 57 61 64 63 66 68 72 75 74 77 79 135 83 86 85 88 90 94 97 96 99 101 146 105 108 107 110 112 157 116 119 118 121 123 168 127 130 129 132 134 138 141 140 143 145 149 152 151 154 156 160 163 162 165 167 171 174 173 176,45 3 5 7 19 10 22 56 14 16 18 21 67 25 27 29 41 32 44 89 36 38 40 43 47 49 51 85 54 88 58 60 62 107 65 110 69 71 73 118 76 121 133 80 82 84 87 91 93 95 129 98 132 144 102 104 106 109 155 113 115 117 120 166 124 126 128 131 135 137 139 151 142 154 146 148 150 153 157 159 161 173 164 176 168 170 172 175:4 3 4 4 4 3 4 4 4 3 4 3 4 4 4 4 4 3 4 4 3 4 3 3,3 8 3 3 8 3 8 8 8 3 8 3 3 3 8 8> {(2, 33): 't1', (2, 150): 'tau1', (0, 29): 't1^-1', (1, 123): 't1', (0, 51): 't3*tau2', (0, 41): 't1', (0, 159): 't1', (2, 142): 'tau1^-1', (2, 51): 't3', (0, 62): 't2*tau3^-1', (0, 43): 't1', (0, 129): 't1', (2, 76): 'tau2^-1', (0, 160): 't1', (2, 43): 't1', (0, 22): 't1^-1', (0, 131): 'tau3^-1*t2', (2, 164): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 175): 't1^-1*tau3^-1*t2', (2, 117): 'tau2', (2, 131): 'tau3^-1', (0, 42): 't1', (0, 164): 'tau2*t3', (0, 154): 't1', (2, 54): 't3', (2, 128): 'tau3^-1', (0, 174): 't1^-1', (0, 28): 't1^-1', (0, 120): 'tau2*t3', (0, 161): 't1*tau3*t2^-1', (2, 172): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 90): 't1^-1', (2, 165): 't1^-1', (0, 172): 'tau2^-1*t3^-1', (2, 109): 't2^-1', (2, 62): 't2', (2, 40): 't1', (0, 27): 't1^-1', }